• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2002년도 추계학술대회논문집
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• pp.492-497
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• 2002

In this paper, Power Flow Analysis(PFA) method has been applied to the prediction of vibration energy density and intensity of coupled shell structures in the medium-to-high frequency ranges. To consider the wave transformation at joint between shell elements, power transmission and reflection coefficients are investigated for various joint angles, and here Donnell-Mushtari thin shell theory has been used. For validations computations are performed to analyze the response of coupled shells by changing the excitation frequency and damping loss factor.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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• pp.208-215
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• 1998

A stability problems of isotropic shells under pure bending is investigated based on the classical shells theory. The governing equations of stability problem presented by Donnell and Love, are developed and the solutions for the cylindrical shells are obtained by using Galerkin method. Bending moment is applied at the ends of the cylindrical shell as a from of distributed load in the shape of sine curve. For the isotropic materials, the result of the general purpose structural analysis program based on the finite element method are compared with the critical moment obtained from the classical shell theories. The critical loads for the cylindrical shells with various geometry can not be evaluated with a simple equation. However, accurate solutions for the stability problems of cylindrical shells can be obtained through the equilibrium equation developed in the study.

• Structural Engineering and Mechanics
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• 제88권2호
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• pp.109-115
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• 2023

In this paper, frequencies of zigzag structure of carbon nanotubes isinvestigated based on Donnell shell theory. These tubes are wrapped with the ring supports in the axial direction. The fundamental frequency curves displayed in article show the dependence of vibrations attributes to zigzag single walled carbon nanotubes. Various zigzag indices are introduced against the variation of length to predict the vibration. Also, the influence of ring supports is sketched with proposed structure for frequency analysis. The frequencies of zigzag tube decreases as the length increases. It is observed that the frequencies decreases with ring support and have higher frequencies without ring. The problem is formulated using Partial Differential Equation. Three expressions of modal deformation displacement functions is used for the elimination of temporal variation to form the solution in the eigen from. For the stability of present study the results are compared with experimentally and numerically in the open text.

• Geomechanics and Engineering
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• 제36권2호
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• pp.99-109
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• 2024

Studying the dynamic behavior of axially moving cylindrical shells in hygro-thermal environments has important theoretical and engineering value for aircraft design. Therefore, in this paper, considering hygro-thermal effect, the nonlinear forced vibration of an axially moving cylindrical shell made of functionally graded materials (FGM) is studied. It is assumed that the material properties vary continuously along the thickness and contain pores. The Donnell thin shell theory is used to derive the motion equations of FGM cylindrical shells with hygro-thermal loads. Under the four sides clamped (CCCC) boundary conditions, the Gallekin method and multi-scale method are used for nonlinear analysis. The effects of power law index, porosity coefficient, temperature rise, moisture concentration, axial velocity, prestress, damping and external excitation amplitude on nonlinear forced vibration are explored through parametric research. It can be found that, the changes in temperature and humidity have a significant effect. Increasing in temperature and humidity will cause the resonance position to shift to the left and increase the resonance amplitude.

• Steel and Composite Structures
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• 제17권4호
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• pp.453-470
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• 2014

This article is the result of an investigation on the influence of a Pasternak elastic foundation on the stability of exponentially graded (EG) cylindrical shells under hydrostatic pressure, based on the first-order shear deformation theory (FOSDT) considering the shear stresses. The shear stresses shape function is distributed parabolic manner through the shell thickness. The governing equations of EG orthotropic cylindrical shells resting on the Pasternak elastic foundation on the basis of FOSDT are derived in the framework of Donnell-type shell theory. The novelty of present work is to achieve closed-form solutions for critical hydrostatic pressures of EG orthotropic cylindrical shells resting on Pasternak elastic foundation based on FOSDT. The expressions for critical hydrostatic pressures of EG orthotropic cylindrical shells with and without an elastic foundation based on CST are obtained, in special cases. Finally, the effects of Pasternak foundation, shear stresses, orthotropy and heterogeneity on critical hydrostatic pressures, based on FOSDT are investigated.

• Steel and Composite Structures
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• 제43권5호
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• pp.603-623
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• 2022

This article is dedicated to predict the natural frequencies of joined conical shell structures made of Functionally Graded Material (FGM). The structure includes two conical segments. The equivalent material properties are found by using the rule of mixture based on Voigt model. In addition, three well-known patterns are employed for distribution of material properties throughout the thickness of the structure. The main objective of the present research is to propose a novel exponential pattern and obtain the related equivalent material properties. Furthermore, the Donnell type shell theory is used to obtain the governing equations of motion. Note that these equations are obtained by employing First-order Shear Deformation Theory (FSDT). In order to discretize the governing system of differential equations, well-known and efficient semi-analytical scheme, namely Generalized Differential Quadrature Method (GDQM), is utilized. Different boundary conditions are considered for various types of single and joined conical shell structures. Moreover, an applicable modification is considered for the continuity conditions at intersection position. In the first step, the proposed formulation is verified by solving some well-known benchmark problems. Besides, some new numerical examples are analyzed to show the accuracy and high capability of the suggested technique. Additionally, several geometric and material parameters are studied numerically.

• 항공우주정책ㆍ법학회지
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• 제21권1호
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• pp.169-189
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• 2006

2007년 고흥 우주센타에서 우리가 만든 KSLV(Korea Small Launching Vehicle)이 발사될 예정이며, 우리나라의 우주개발을 체계적으로 진흥하고 우주물체를 효율적으로 이용관리하기 위하여'우주개발진흥법'이 제정되었고 효력을 발휘하고 있다. '우주개발진흥법'제3조 (1)항에서"정부는 다른 국가 및 국제기구와 대한민국이 맺은 우주 관련 조약을 지키며 우주공간의 평화적 이용을 도모한다."라고 규정하고 있는바, 대표적으로 우주조약(1967)과 책임협약(1972)등이 그 대표적인 국제협약들이다. 우주물체로 야기된 손해에 대한 책임협약 제2조에서 발사국은 자국의 우주물체에 대하여"지상(on the surface of the earth) 또는 비행중인 항공기(aircraft in flight)에서 발생된 손해에 대하여 절대적(absolutely liable)으로 배상할 책임이 있다고 규정하고 있다. 우주개발진흥법 제14조 (우주사고에 따른 손해배상책임)에는"우주물체를 발사한 자는 그 우주물체로 인한 우주사고에 따른 손해배상책임을 부담하여야 한다."는 규정은 발사허가의 문제를 넘어, 우주발사자에게 명백하게 책임을 부담하고 있는 것이다. 또한 우주책임협약(1972) 제2조에는 발사국(A launching State)이 배상책임의 주체가 되어 있다. 따라서, 현재 다른 나라의 사례에서 보면, 우주발사자는 제3자 피해 등에 대한 책임보험까지만 배상을 하고 그 보다 많은 배상액이 요구될 때에는 국가가 손해배상을 부담하는 체재로 수행하고 있다. 여기서, 우주발사자에게 제조물책임법을 적용시킬 수 있느냐의 문제가 제기된다. 우리나라는 2002년 7월 1일부터 시행하고 있다. KSLV개발에 있어서 KARl와 러시아제작사간 계약은 공동개발인지 기술이전개발 인지에 대한 명확한 이해가 부족하다. 특히, 러시아 회사들에 대한 책임면책에 대한 규정들이 없는 것으로 알고 있는데, 우주개발의 통념상 상호면책을 한다는 인식만으로 러시아 회사들의 제작 및 개발책임들을 면책할 수 있는 방안은 없다고 판단된다. 따라서, 명백한 책임면책 조항이 없다면, 러시아 회사들에 대하여, 한국의 제조물책임법이 적용될 수 있다고 판단된다. 가장 중요한 법적논점은 KARl와 주요부품업체간에 제조물책임법을 적용할 수 있는가에 대한 문제이다. KARl는 모 주요부품업체간의 물품구매계약특수조건에 대한 합의서 제17조에 제조물책임법에 대한 규정을 하고 있다. 참고로, Appalachian Insurance co. v. McDonnell Douglas 사례를 검토할 필요가 있는데, 본 사건은 Western Union Telegraph사 소유의 원거리 전기통신위성이 본 궤도 진입에 실패한 사례이다. Western Union의 보험회사는 완전한 손실로 간주하여 그 위성에 대해 Western Union 사에 1억 5백만 달러의 보험금을 지급하였다. 5개의 보험회사- Appalachian 보험 회사, Commonwealth 보험회사, Industrial Indemnity, Mutual Marine Office, Northbrook Excess & Surplus 보험회사 - 는 McDonnell Douglas와 Morton Thiokol 그리고 Hitco사를 상대로 과실과 제품에 대한 엄격한 책임을 물어 고소를 했다. Appalachian Insurance co. v. McDonnell Douglas사례를 참고로, KARl는 주요 제작업체의 제조물책임을 면책시켜주는 계약을 맺어야 한다. 주요제작업체가 제조물 책임을 면하기 위하여, 자비로 보험을 들게 되면 곧 KSLV 제작비만 증가하게 되기 때문이다. 따라서, Government Contractor Defense(정부계약자 항변)'의 법적개념을 적용시킬 수 있는지 여부에 대한 연구가 필요하다.

• Structural Engineering and Mechanics
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• 제24권5호
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• pp.621-639
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• 2006

Stability of a cylindrical shell subject to a uniform axial compression, which is a power function of time, is examined within the framework of small strain elasto-plasticity. The material of the shell is incompressible and the effect of the elastic unloading is considered. Initially, employing the infinitesimal elastic-plastic deformation theory, the fundamental relations and Donnell type stability equations for a cylindrical shell have been obtained. Then, employing Galerkin's method, those equations have been reduced to a time dependent differential equation with variable coefficient. Finally, for two initial conditions applying a Ritz type variational method, the critical static and dynamic axial loads, the corresponding wave numbers and dynamic factor have been found. Using those results, the effects of the variations of loading parameters and the variations of power of time in the axial load expression as well as the variations of the radius to thickness ratio on the critical parameters of the shells for two initial conditions are also elucidated. Comparing results with those in the literature validates the present analysis.

• Geomechanics and Engineering
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• 제32권6호
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• pp.615-625
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• 2023

Initial geometrical imperfection is an important factor affecting the structural characteristics of plate and shell structures. Studying the effect of geometrical imperfection on the structural characteristics of cylindrical shell is beneficial to explore the thermal post-buckling response characteristics of cylindrical shell. Therefore, we devote to investigating the thermal post-buckling behavior of graphene platelets reinforced mental foam (GPLRMF) cylindrical shells with geometrical imperfection. The properties of GPLRMF material with considering three types of graphene platelets (GPLs) distribution patterns are introduced firstly. Subsequently, based on Donnell nonlinear shell theory, the governing equations of cylindrical shell are derived according to Eulerian-Lagrange equations. Taking into account two different boundary conditions namely simply supported (S-S) and clamped supported (C-S), the Galerkin principle is used to solve the governing equations. Finally, the impact of initial geometrical imperfections, the GPLs distribution types, the porosity distribution types, the porosity coefficient as well as the GPLs mass fraction on the thermal post-buckling response of the cylindrical shells are analyzed.

• Steel and Composite Structures
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• 제45권3호
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• pp.349-367
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• 2022

In this research, an approach combining a semi-analytical method and an analytical method is presented to investigate the static and dynamic post-buckling behavior of the sandwich functionally graded (FG) porous cylindrical shells exposed to external pressure. The sandwich cylindrical shell considered is composed of a viscoelastic core and two FG porous (FGP) face layers. The viscoelastic core is made of Kelvin-Voigt-type material. The material properties of the FG porous face layer are considered continuous through each face thickness according to a porosity coefficient and a volume fraction index. Two types of sandwich FG porous viscoelastic cylindrical shells named Type A and Type B are considered in the research. Type A shell has the porosity evenly distributed across the thickness direction, and Type B has the porosity unevenly distributes across the thickness direction. The FG face layers are considered in two cases: outside metal surface, inside ceramic surface (OMS-ICS), and inside metal surface, outside ceramic surface (IMS-OCS). According to Donnell shell theory, von-Karman equation, and Galerkin's method, a discretized nonlinear governing equation is derived for analyzing the behavior of the shells. The explicit expressions for static and dynamic critical buckling loading are thus developed. To study the dynamic buckling of the shells, the governing equation is examined via a numerical approach implementing the fourth-order Runge-Kutta method. With a procedure presented by Budiansky-Roth, the critical load for dynamic post-buckling is obtained. The effects of various parameters, such as material and geometrical parameters, on the post-buckling behaviors are investigated.